Presentation on theme: "2-3 Slope Slope indicates the steepness of a line."— Presentation transcript:
1 2-3 Slope Slope indicates the steepness of a line. is “the change in y over the change in x” (vertical over horizontal).is the ‘m’ in y = mx + b.
2 Finding the Slope of a Line m =mWe use the first equation when given a graph, the second when given a table, and the third when given two points.
3 Slope If a line rises from left to right (uphill), xyIf a line rises fromleft to right (uphill),it has a positive slope.If a line falls fromleft to right (downhill),it has a negative slope.xy
4 Slope If a line is vertical, it has an undefined slope. If a line is horizontal it hasa slope equal to 0.xyxy
5 Find the Slope To find the slope of this line we will use rise/run. Pick either point.We find the rise bycounting up (+) or down (-).Rise is 3 up from the bottom or -3 down from the top point.yx
6 Find the Slope To find the run, we count right (+) or left (-). If you started from thetop point, your run will be left-2, if you started at the bottompoint, your run will be right 2.xy
7 Find the Slope So if you started with the top point, your xySo if you started withthe top point, yourslope would be -3/-2.If you started with the bottompoint, your slope would be 3/2.Are these the same? Yes!! Theslope of the line is 3/2.